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Math Help - Equation of the Line

  1. #1
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    Equation of the Line

    A mountain climber is scaling a 300 foot cliff at a constant rate. The climber starts at the bottom at 12:00 P.M. By 12:30 P.M., the climber has moved 62 feet up the cliff.

    Write an equation that gives the distace d (in feet) remaining in the climb in terms of the time t (in hours). What is the slope of the line?


    MY WORK:

    The points are (0,0) and (1/2,62).

    The point (0,0) represents the location at the bottom of the mountain where the climber starts to climb.

    Is this right so far?

    I want to write an equation in the form y = mx + b, where m = slope and b = y-intercept.

    m = (62 - 0)/(1/2 - 0)

    m = 62 divided by 1/2

    m = 124

    The slope is 124.

    Replace y with d.

    I got d = 124t + 300

    Is this correct? If not, can someone answer this question?




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  2. #2
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    key phrase here is distance remaining ...

    d = 300 - 124t
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